1.1 What are real #'s? Identify the types of real #'s. How do you identify and graph on the Cartestian coordinate system?
1.2 What is a relation? What is a function and how do you identify it when given the points, the equation or the graph?
1.3 What is the point-slope form of an equation? Given that, how do you identify the x- and y-coordinates and draw its graph? What is a zero of a function? How do you find the slope of a line given 2 points or the graph of the line?
1.4 What is the point-slope form of a line? What is the relationship between the slopes of lines that are parallel or perpendicular?
1.5 How do you determine intersections or solutions graphically?
1.6 How can we use linear models for real world situations?
1.1 Able to categorize real #'s and graph using the Cartesian coordinate system.
1.2 Able to determine if a relation is a function given the graph or equation.
1.3 Write an equation for a linear function given the graph or 2 points. Find the x- and y-intercepts given the equation.
1.4 Write equation of a line in point-slope form. Find the equations of lines parallel or perpendicular to a given line.
1.5 Use the calculator to find zeros or solutions for linear equations, inequalities and systems.
1.6 Given data or a particular situaion, determine if a linear model is appropriate and, if so, write a linear model for the data and use model to make predictions. Use calculator to find linear regression models.
2.6 Operations of functions & composition of functions
2.1 What are some of the basic functions and their characteristics? domains? ranges?
2.2 How does adding or subtracting values in an equation effect its graph? domain? range?
2.3 How does multiplying or dividing in an equation effect its graph? domain? range?
2.4 What is the graph of an absolute value function? Properties? How do you reflect, translate, stretch or shrink it? How do you solve equations & inequalities involving absolute value?
2.5 What are piece-wise defined functions and how are they used?
2.6 How do you add, subtract, multiply, divide and do composition of functions? What is the difference quotient?
.1 Know 6 basic functions, their characteristics, domains, ranges, intervals in increasing & decreasing, symmetry and intervals of continuity.
2.2 Draw graphs of 6 basic functions that have been translated in the plane. Write equations of translated graphs.
2.3 Draw graphs of 6 basic functions that have been stretched or shrunk or reflected.
2.4 Solve absolute value equations & inequalities both graphically & analytically.
2.5 Graph a piecewise-defined function given the equation and given the graph, be able to write the equation.
2.6 Be able to add, subtract, multiply, divide and do the composition of functions and determine the domain of the new function. Use composition of functions in solving real-world problems.
2.1 Parent function worksheet, determining domain from Equation worksheet
2.2 Translations
2.3 stretch & shrink worksheet, Finding the equation worksheet, Quia game
2.6 Difference quotient, Operations on Functions, Worksheet for 2.6
3.6 Topics in the Theory of Polynomial Functions I
3.7 Topics in the Theory of Polynomial Functions II
3.5 Factoring Review
3.5/3.6 Factoring & Synthetic Division
3.6 Polynomial Investigation
3.1-3.2 Quiz
3.1-3.4 Test on Quadratic functions
3.5 Quiz
3.6 Pop-quiz
3.5-3.8 Test on Polynomial functons
Chapter 4: (4.1-4.3) Mid Nov - Mid Dec
4.1 Rational (Linear/linear) functions and their graphs
4.2 Rational functions with holes; Rational functions with 2 Vertical asymptotes; rational functions with slant asymptotes
4.3 Rational inequalities (part I)
4.1 graphs of rational functions practice sheet
4.2 Rational functions with holes
4.2 Review sheet
4.3 Rational functions & middle behavior
4.3 Rational functions with 2 vertical asymptotes
4.1 Quiz
4.2 Quiz
4.1-4.3 test
Chapter 4: 4.3-4.5 (Jan)
4.3 Review of Rational Functions. Inverse functions and their graphs. Combined and joint variation.
4.4 Power and Root Functions: Equations, models and graphs. Graphing Circles
4.5 Equations, Inequalities and applications involving root functions
4.3: How do the graphs of different rational functions compare to one another? What makes a rational function an inverse function? What is combined and joint variation?
4.4 What are power and root functions? their graphs?
4.5 How do you solve equations, inequalities and applications that involve root and power functions?
4.3 Recognizing rational functions in different forms and being able to graph them regardless of the form. Recognizing inverse functions in various forms and graphing them. Ability to recognize and recognize and write combined and joint variation problems and equations.
4.4 Recognizing root and power functions; graphing root and power functions with and without a calculator.
4.5 Solving equations, inequalities involving root and power functions both graphically and analytically; Using root and power functions in applications of real world
problems.
5.5 Exponential and logarithmic equations and inequalities
5.6 Applications and modeling with exponential and logarithmic function
5.1 What are inverse functions and their properties?
5.2 What are exponential functions? their properties? their graphs? how do you evaluate rational exponents?
5.3 What is a logarithm? What are the special properties of log expressions? How do I evaluate a log expression with or without a calculator? How do I change the base of a log expression so I can evaluate it with a calculator?
5.4 What does the graph of a log function look like?
5.5 How do you solve equations with exponential and logarithmic expressions in them, both analytically and graphically?
5.6 How do you use properties of exponential and log functions to model and solve real world applications?
5.1 Determining if a function has an inverse; determining if 2 functions are inverses; how the graphs of inverse functions related.
5.2Using calculators to evaluate rational exponents; graphing exponential functions with and without a calculator by determining asymptotes, basic properties and determining if the function is growth or decay.
5.3 Rewriting log expressions in exponential form and vice versa; rewriting log expressions using the properites of logs; applying the Change of Base Theorem;.
5.4 Determining the domain of a log function; determining the asymptote of a log function; graphing a log function with and without a calculator.
5.5 Applying the properties of logs and the concepts of the inverse properties of logs and exponential functions to solve equations involving logarithmic and exponential expressions.
5.6 Writing models to solve real world problems and solving those models graphically and analytically.
5.2 Graphing exponential functions worksheet
5.3 Properties of logsworksheet
5.4 Graphing log functions worksheet
5.5 Solving log and exp. equations worksheet
5.1-5.2 Quiz
5.3-5.4 Quiz
5.5-5.6 Quiz
Test on Ch. 5
Chapter 6 (End of Feb.-end of March)
6.1 Circles and Parabolas (off the origin and in various forms)
6.2 Ellipses and Hyperbolas
6.3 Summary of the Conic Sections
6.4 Parametric Equations
6.1 What is a conic section? How are they related? How do you recognize and graph circles and parabolas?
6.2 What is an ellipse? How do you recognize the equation of an ellipse and graph it? What is a hyperbola? How do you recognize the equation of a hypberbola and graph it?
6.3 What are the characteristics of equations of conic sections? How are they related? How are they different?
6.4 What is a parametric equation? How are they used?
6.1 Recognizing equations of circles and parabolas; writing them in standard form; graphing equations in standard form.
6.2 Recognizing equations of ellipses and hyperbolas; writing them in standard form; graphing equations in standard form.
6.3 Recognizing an equation as that of a conic section; determining which conic section it is; writing it in standard form.
6.4 Graphing parametric equations with a calculator; finding their rectangular equivalents.
6.1 Graphing wksht. on circles
6.2 Wkst. on graphing ellipses and hyperbolas
6.1-6.2 Quiz
Test 6.1-6.3
Ch. 6 Test
Chapter 7 (7.1, 7.4-7.8) (Mid-March - Mid-April)
7.1 Systems of Equations
7.4 Matrix Properties and Operations
7.5 Determinants and Cramer's Rule
7.6 Solving Linear systems using Matrices
7.7 Systems of Inequalities and Linear Programming
7.8 Partial Fraction
7.1 What is a system of equations? What is the solution of a system of equations?
7.4 What is a matrix? What are the properties of matrices?
7.5 What is a determinant of a matrix? How do you find it and what does it tell you?
7.6 How do you use matrices to solve systems of linear equations?
7.7 What is linear programming? How do you solve a linear programming problem?
7.8 What is a partial fraction?
7.1 Determining the solution(s) to a system of equations graphically and analytically (Substitution Method and Linear Combination Method)
7.4 Writing data in matrices; applying properties of and operations on matrices.
7.5 Finding determinants of matrices.
7.6 Writing a linear system as a matrix equation; finding the inverse of a (coefficient) matrix; using the inverse to solve the matrix equation
7.7 Solving linear systems of inequalities graphically; writing linear equations and inequalities to model a problem; graphing the inequalities and/or equations to detemine the feasible region, vertices and optimum solution.
7.8 Finding a partial fraction decomposition for rational expressions.
7.7 Linear progamming worksheet
Quiz 7.1,7.4-7.6
Test ch. 7
Chapter 11 (Mid-April - Mid-May)
11.1 Sequences and Series
11.2 Arithmetic Sequences and Series
11.3 Geometric Sequences and Series
11.1 What is a sequence? What is a series?
11.2 Arithmetic Sequences and Series
11.3 Geometric Sequences and Series
11.1 Recognizing sequences and series; finding patterns (rules) and next terms; using sigma notation.
11.2 Finding the terms of an arithmetic seq. or series given the formula and vice versa.
11.3 Finding the terms of a geometric seq. or series given the formula and vice versa.
1.2 Intro. to Relations & Functions
1.3 Linear Functions
1.4 Equations of lines & linear Models
1.5 Linear Equations and Inequalities
1.6 Applications of Linear functions
1.2 What is a relation? What is a function and how do you identify it when given the points, the equation or the graph?
1.3 What is the point-slope form of an equation? Given that, how do you identify the x- and y-coordinates and draw its graph? What is a zero of a function? How do you find the slope of a line given 2 points or the graph of the line?
1.4 What is the point-slope form of a line? What is the relationship between the slopes of lines that are parallel or perpendicular?
1.5 How do you determine intersections or solutions graphically?
1.6 How can we use linear models for real world situations?
1.2 Able to determine if a relation is a function given the graph or equation.
1.3 Write an equation for a linear function given the graph or 2 points. Find the x- and y-intercepts given the equation.
1.4 Write equation of a line in point-slope form. Find the equations of lines parallel or perpendicular to a given line.
1.5 Use the calculator to find zeros or solutions for linear equations, inequalities and systems.
1.6 Given data or a particular situaion, determine if a linear model is appropriate and, if so, write a linear model for the data and use model to make predictions. Use calculator to find linear regression models.
Quia slope game
1.5-1.6 Quiz
Chapter test
Chapter 1 Project ( pg. 88 of text)
2.2 Vertical & Horizontal Translations (Shifts)
2.3 Vertical & Horizontal Scale Changes (Stretch, shrink & reflect)
2.4 Absolute Value Functions
2.5 Piecewise-defined Functions
2.6 Operations of functions & composition of functions
2.2 How does adding or subtracting values in an equation effect its graph? domain? range?
2.3 How does multiplying or dividing in an equation effect its graph? domain? range?
2.4 What is the graph of an absolute value function? Properties? How do you reflect, translate, stretch or shrink it? How do you solve equations & inequalities involving absolute value?
2.5 What are piece-wise defined functions and how are they used?
2.6 How do you add, subtract, multiply, divide and do composition of functions? What is the difference quotient?
2.2 Draw graphs of 6 basic functions that have been translated in the plane. Write equations of translated graphs.
2.3 Draw graphs of 6 basic functions that have been stretched or shrunk or reflected.
2.4 Solve absolute value equations & inequalities both graphically & analytically.
2.5 Graph a piecewise-defined function given the equation and given the graph, be able to write the equation.
2.6 Be able to add, subtract, multiply, divide and do the composition of functions and determine the domain of the new function. Use composition of functions in solving real-world problems.
2.2 Translations
2.3 stretch & shrink worksheet, Finding the equation worksheet, Quia game
2.6 Difference quotient, Operations on Functions, Worksheet for 2.6
Test 2.1-2.5
2.6 Quiz
Higher Degree Polynomials (3.5-3.8)
3.2 Quadratic functions & graphs
3.3 Quadratic functions & inequalities
3.4 Applications of Quadratic models
3.5 Higher degree polynomial functions & graphs
3.6 Topics in the Theory of Polynomial Functions I
3.7 Topics in the Theory of Polynomial Functions II
3.5/3.6 Factoring & Synthetic Division
3.6 Polynomial Investigation
3.1-3.4 Test on Quadratic functions
3.5 Quiz
3.6 Pop-quiz
3.5-3.8 Test on Polynomial functons
4.2 Rational functions with holes; Rational functions with 2 Vertical asymptotes; rational functions with slant asymptotes
4.3 Rational inequalities (part I)
4.2 Rational functions with holes
4.2 Review sheet
4.3 Rational functions & middle behavior
4.3 Rational functions with 2 vertical asymptotes
4.2 Quiz
4.1-4.3 test
4.4 Power and Root Functions: Equations, models and graphs. Graphing Circles
4.5 Equations, Inequalities and applications involving root functions
4.4 What are power and root functions? their graphs?
4.5 How do you solve equations, inequalities and applications that involve root and power functions?
4.4 Recognizing root and power functions; graphing root and power functions with and without a calculator.
4.5 Solving equations, inequalities involving root and power functions both graphically and analytically; Using root and power functions in applications of real world
problems.
Test on 4.3-4.5
5.2 Exponential functions
5.3 Logarithms and their properties
5.4 Graphs of logarithmic functions
5.5 Exponential and logarithmic equations and inequalities
5.6 Applications and modeling with exponential and logarithmic function
5.2 What are exponential functions? their properties? their graphs? how do you evaluate rational exponents?
5.3 What is a logarithm? What are the special properties of log expressions? How do I evaluate a log expression with or without a calculator? How do I change the base of a log expression so I can evaluate it with a calculator?
5.4 What does the graph of a log function look like?
5.5 How do you solve equations with exponential and logarithmic expressions in them, both analytically and graphically?
5.6 How do you use properties of exponential and log functions to model and solve real world applications?
5.2Using calculators to evaluate rational exponents; graphing exponential functions with and without a calculator by determining asymptotes, basic properties and determining if the function is growth or decay.
5.3 Rewriting log expressions in exponential form and vice versa; rewriting log expressions using the properites of logs; applying the Change of Base Theorem;.
5.4 Determining the domain of a log function; determining the asymptote of a log function; graphing a log function with and without a calculator.
5.5 Applying the properties of logs and the concepts of the inverse properties of logs and exponential functions to solve equations involving logarithmic and exponential expressions.
5.6 Writing models to solve real world problems and solving those models graphically and analytically.
5.3 Properties of logsworksheet
5.4 Graphing log functions worksheet
5.5 Solving log and exp. equations worksheet
5.3-5.4 Quiz
5.5-5.6 Quiz
Test on Ch. 5
6.2 Ellipses and Hyperbolas
6.3 Summary of the Conic Sections
6.4 Parametric Equations
6.2 What is an ellipse? How do you recognize the equation of an ellipse and graph it? What is a hyperbola? How do you recognize the equation of a hypberbola and graph it?
6.3 What are the characteristics of equations of conic sections? How are they related? How are they different?
6.4 What is a parametric equation? How are they used?
6.2 Recognizing equations of ellipses and hyperbolas; writing them in standard form; graphing equations in standard form.
6.3 Recognizing an equation as that of a conic section; determining which conic section it is; writing it in standard form.
6.4 Graphing parametric equations with a calculator; finding their rectangular equivalents.
6.2 Wkst. on graphing ellipses and hyperbolas
Test 6.1-6.3
Ch. 6 Test
7.4 Matrix Properties and Operations
7.5 Determinants and Cramer's Rule
7.6 Solving Linear systems using Matrices
7.7 Systems of Inequalities and Linear Programming
7.8 Partial Fraction
7.4 What is a matrix? What are the properties of matrices?
7.5 What is a determinant of a matrix? How do you find it and what does it tell you?
7.6 How do you use matrices to solve systems of linear equations?
7.7 What is linear programming? How do you solve a linear programming problem?
7.8 What is a partial fraction?
7.4 Writing data in matrices; applying properties of and operations on matrices.
7.5 Finding determinants of matrices.
7.6 Writing a linear system as a matrix equation; finding the inverse of a (coefficient) matrix; using the inverse to solve the matrix equation
7.7 Solving linear systems of inequalities graphically; writing linear equations and inequalities to model a problem; graphing the inequalities and/or equations to detemine the feasible region, vertices and optimum solution.
7.8 Finding a partial fraction decomposition for rational expressions.
Test ch. 7
11.2 Arithmetic Sequences and Series
11.3 Geometric Sequences and Series
11.2 Arithmetic Sequences and Series
11.3 Geometric Sequences and Series
11.2 Finding the terms of an arithmetic seq. or series given the formula and vice versa.
11.3 Finding the terms of a geometric seq. or series given the formula and vice versa.